More than half of Carroll’s 47 rebounds were off its own misses, but the Cavaliers could turn only nine of those 25 extra chances into points Tuesday as Grayson County took a 68-60 win in the opening round of the First Bank of Virginia Tournament at Fort Chiswell High School.

The loss bumped the Cavaliers (3-4) into the bottom half of the bracket where they can do no better than fifth in the eight-team event. Grayson (4-2) is assured a finish no worse than fourth. Both teams played Wednesday and Thursday.

The Blue Devils saw a three-point lead late in the third quarter expand to 14 and shrink back to five by the game’s final minute. Mac Martin dropped in a 3-pointer and Wes Smoot scored off the offensive glass to pull Carroll to within 46-43 at the 2:14 mark of the third, but Grayson County closed the quarter with an 8-0 run to lead 54-43 entering the fourth.

Mikey Rodgers scored in transition to close the third period then opened the fourth with a 3-pointer, giving Grayson its largest lead of the night, 57-43.

Carroll climbed back to within single digits on 3-pointers by Martin and Connor Lundy, and the Cavaliers had a chance to make it a one-possession game with a minute left. Ryan Gravley hit two foul shots to cut the gap to 63-58 with 54 seconds left and the Devils threw away the inbounds pass, but Tyler Rutherford stepped in front of Martin to draw an offensive foul, and Grayson drew away by hitting five of six free throws in the last 34 seconds.

Carroll County gathered 12 offensive boards in the first half but was able to hit just two putbacks, while Grayson scored 10 second-chance points, including an Eric Harvey follow that gave Grayson County the lead for good, 6-4, midway through the first.

Rodgers knocked down a 21-footer and Harvey sank two foul shots after an offensive board for a 23-15 lead, and Rutherford’s midrange jumper sent Grayson to the half on top 34-27.